Answer:
Step-by-step explanation:
Let the height = h
Let the base = 4h + 7
Area of a triangle = 1/2 * b * h
Area = 93 square inches
1/2 * (4h + 7)* h = 93 Multiply both sides by 2
(4h + 7) * h = 93*2
(4h + 7)*h = 186 Remove the brackets
4h^2 + 7h = 186 Subtract 186 from both sides.
4h^2 + 7h - 186 = 0
Use the quadratic formula to solve
a = 4
b = 7
c = - 186
x1 = (-7 + sqrt(7^2 - 4*4*(-186) ) /2*4
x1 = (-7 + sqrt(49 - 16*(-186)) / 8
x1 = (-7 + sqrt(49 + 2976)) / 8
x1 = (-7 + sqrt(3025)) / 8
x1 = (-7 +55 ) / 8
x1 = (48)/8
x1 = 6
There is another root, but it has to be minus and therefore cannot be used as a length. x2 = - 7.75
h = 6
b = 4*6 + 7 = 31
Check
Area = 1/2 * b * h
Area = 1/2 * 31 * 6
Area = 1/2 *186
Area = 93 which is what we were given so the answer is correct.
Answer:
cups.
Step-by-step explanation:
It is given that the ingredients for making chocolate cookies are 
cup of brown sugar, 
cup of white sugar, 
cup of butter, 
cup of flour, and 
cup of chocolate chips.
Now, we have to calculate the total number of cups of ingredients needed in making chocolate cookies.
So, it will be given by
cups
= 
cups
= cups. (Answer)
Answer:
350
Step-by-step explanation:
Introduction. Percent, p%
'Percent (%)' means 'out of one hundred':
p% = p 'out of one hundred',
p% is read p 'percent',
p% = p/100 = p ÷ 100
120% = 120/100 = 120 ÷ 100 = 1.2
100% = 100/100 = 100 ÷ 100 = 1
Percentage of 120% of what number = 420?
120% × ? = 420
? =
420 ÷ 120% =
420 ÷ (120 ÷ 100) =
(100 × 420) ÷ 120 =
42,000 ÷ 120 =
350
<h2>Proof</h2><h3>How do we check the result?</h3>
If 120% × 350 = 420 =>
Divide 420 by 350...
... And see if we get as a result: 120%
<h3>Note:</h3>
Multiply a number by the fraction 100/100,
... and its value doesn't change.
100/100 = 100 ÷ 100 = 1
n/100 = n%, any number.
<h2>Hope it is helpful....</h2>
Answer:
1
Step-by-step explanation:
Simplifying
3x + 2(4x + -4) = 3
Reorder the terms:
3x + 2(-4 + 4x) = 3
3x + (-4 * 2 + 4x * 2) = 3
3x + (-8 + 8x) = 3
Reorder the terms:
-8 + 3x + 8x = 3
Combine like terms: 3x + 8x = 11x
-8 + 11x = 3
Solving
-8 + 11x = 3
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '8' to each side of the equation.
-8 + 8 + 11x = 3 + 8
Combine like terms: -8 + 8 = 0
0 + 11x = 3 + 8
11x = 3 + 8
Combine like terms: 3 + 8 = 11
11x = 11
Divide each side by '11'.
x = 1
Simplifying
x = 1
Answer:
1/3^2
Im trying to earn my brainliest..so if you don't mind :)
